Pandas Profiling before Data Preprocessing

Dataset statistics

Number of variables	12
Number of observations	6497
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	1179
Duplicate rows (%)	18.1%
Total size in memory	609.2 KiB
Average record size in memory	96.0 B

Variable types

NUM	12

Reproduction

Analysis started	2020-07-17 21:03:27.048316
Analysis finished	2020-07-17 21:04:08.526118
Duration	41.48 seconds
Version	pandas-profiling v2.8.0
Command line	`pandas_profiling --config_file config.yaml [YOUR_FILE.csv]`
Download configuration	config.yaml

Warnings

Dataset has 1179 (18.1%) duplicate rows	Duplicates
`citric acid` has 151 (2.3%) zeros	Zeros

fixed acidity
Real number (ℝ_≥0)

Distinct count	106
Unique (%)	1.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	7.215307064799139
Minimum	3.8
Maximum	15.9
Zeros	0
Zeros (%)	0.0%
Memory size	50.8 KiB

Quantile statistics

Minimum	3.8
5-th percentile	5.7
Q1	6.4
median	7
Q3	7.7
95-th percentile	9.8
Maximum	15.9
Range	12.1
Interquartile range (IQR)	1.3

Descriptive statistics

Standard deviation	1.296433758
Coefficient of variation (CV)	0.1796782516
Kurtosis	5.061160665
Mean	7.215307065
Median Absolute Deviation (MAD)	0.6
Skewness	1.723289647
Sum	46877.85
Variance	1.680740488

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
6.8	354	5.4%
6.6	327	5.0%
6.4	305	4.7%
7	282	4.3%
6.9	279	4.3%
7.2	273	4.2%
6.7	264	4.1%
7.1	257	4.0%
6.5	242	3.7%
7.4	238	3.7%
Other values (96)	3676	56.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3.8	1	< 0.1%
3.9	1	< 0.1%
4.2	2	< 0.1%
4.4	3	< 0.1%
4.5	1	< 0.1%

Value	Count	Frequency (%)
15.9	1	< 0.1%
15.6	2	< 0.1%
15.5	2	< 0.1%
15	2	< 0.1%
14.3	1	< 0.1%

volatile acidity
Real number (ℝ_≥0)

Distinct count	187
Unique (%)	2.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.3396659996921656
Minimum	0.08
Maximum	1.58
Zeros	0
Zeros (%)	0.0%
Memory size	50.8 KiB

Quantile statistics

Minimum	0.08
5-th percentile	0.16
Q1	0.23
median	0.29
Q3	0.4
95-th percentile	0.67
Maximum	1.58
Range	1.5
Interquartile range (IQR)	0.17

Descriptive statistics

Standard deviation	0.1646364741
Coefficient of variation (CV)	0.4847010717
Kurtosis	2.825372417
Mean	0.3396659997
Median Absolute Deviation (MAD)	0.08
Skewness	1.495096542
Sum	2206.81
Variance	0.0271051686

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0.28	286	4.4%
0.24	266	4.1%
0.26	256	3.9%
0.25	238	3.7%
0.22	235	3.6%
0.27	232	3.6%
0.23	221	3.4%
0.2	217	3.3%
0.3	214	3.3%
0.32	205	3.2%
Other values (177)	4127	63.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.08	4	0.1%
0.085	1	< 0.1%
0.09	1	< 0.1%
0.1	6	0.1%
0.105	6	0.1%

Value	Count	Frequency (%)
1.58	1	< 0.1%
1.33	2	< 0.1%
1.24	1	< 0.1%
1.185	1	< 0.1%
1.18	1	< 0.1%

citric acid
Real number (ℝ_≥0)

ZEROS

Distinct count	89
Unique (%)	1.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.3186332153301524
Minimum	0.0
Maximum	1.66
Zeros	151
Zeros (%)	2.3%
Memory size	50.8 KiB

Quantile statistics

Minimum	0
5-th percentile	0.05
Q1	0.25
median	0.31
Q3	0.39
95-th percentile	0.56
Maximum	1.66
Range	1.66
Interquartile range (IQR)	0.14

Descriptive statistics

Standard deviation	0.1453178649
Coefficient of variation (CV)	0.4560662791
Kurtosis	2.397239216
Mean	0.3186332153
Median Absolute Deviation (MAD)	0.07
Skewness	0.4717306725
Sum	2070.16
Variance	0.02111728186

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0.3	337	5.2%
0.28	301	4.6%
0.32	289	4.4%
0.49	283	4.4%
0.26	257	4.0%
0.34	249	3.8%
0.29	244	3.8%
0.27	236	3.6%
0.24	232	3.6%
0.31	230	3.5%
Other values (79)	3839	59.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	151	2.3%
0.01	40	0.6%
0.02	56	0.9%
0.03	32	0.5%
0.04	41	0.6%

Value	Count	Frequency (%)
1.66	1	< 0.1%
1.23	1	< 0.1%
1	6	0.1%
0.99	1	< 0.1%
0.91	2	< 0.1%

residual sugar
Real number (ℝ_≥0)

Distinct count	316
Unique (%)	4.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	5.443235339387409
Minimum	0.6
Maximum	65.8
Zeros	0
Zeros (%)	0.0%
Memory size	50.8 KiB

Quantile statistics

Minimum	0.6
5-th percentile	1.2
Q1	1.8
median	3
Q3	8.1
95-th percentile	15
Maximum	65.8
Range	65.2
Interquartile range (IQR)	6.3

Descriptive statistics

Standard deviation	4.757803743
Coefficient of variation (CV)	0.8740764355
Kurtosis	4.359271948
Mean	5.443235339
Median Absolute Deviation (MAD)	1.7
Skewness	1.435404263
Sum	35364.7
Variance	22.63669646

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
2	235	3.6%
1.8	228	3.5%
1.6	223	3.4%
1.4	219	3.4%
1.2	195	3.0%
2.2	187	2.9%
2.1	179	2.8%
1.9	176	2.7%
1.7	175	2.7%
1.5	172	2.6%
Other values (306)	4508	69.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.6	2	< 0.1%
0.7	7	0.1%
0.8	25	0.4%
0.9	41	0.6%
0.95	4	0.1%

Value	Count	Frequency (%)
65.8	1	< 0.1%
31.6	2	< 0.1%
26.05	2	< 0.1%
23.5	1	< 0.1%
22.6	1	< 0.1%

chlorides
Real number (ℝ_≥0)

Distinct count	214
Unique (%)	3.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.05603386178236109
Minimum	0.009
Maximum	0.611
Zeros	0
Zeros (%)	0.0%
Memory size	50.8 KiB

Quantile statistics

Minimum	0.009
5-th percentile	0.028
Q1	0.038
median	0.047
Q3	0.065
95-th percentile	0.102
Maximum	0.611
Range	0.602
Interquartile range (IQR)	0.027

Descriptive statistics

Standard deviation	0.03503360137
Coefficient of variation (CV)	0.6252219686
Kurtosis	50.89805146
Mean	0.05603386178
Median Absolute Deviation (MAD)	0.011
Skewness	5.399827732
Sum	364.052
Variance	0.001227353225

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0.044	206	3.2%
0.036	200	3.1%
0.042	187	2.9%
0.046	185	2.8%
0.048	182	2.8%
0.04	182	2.8%
0.05	182	2.8%
0.047	175	2.7%
0.045	174	2.7%
0.038	169	2.6%
Other values (204)	4655	71.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.009	1	< 0.1%
0.012	3	< 0.1%
0.013	1	< 0.1%
0.014	4	0.1%
0.015	4	0.1%

Value	Count	Frequency (%)
0.611	1	< 0.1%
0.61	1	< 0.1%
0.467	1	< 0.1%
0.464	1	< 0.1%
0.422	1	< 0.1%

free sulfur dioxide
Real number (ℝ_≥0)

Distinct count	135
Unique (%)	2.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	30.525319378174544
Minimum	1.0
Maximum	289.0
Zeros	0
Zeros (%)	0.0%
Memory size	50.8 KiB

Quantile statistics

Minimum	1
5-th percentile	6
Q1	17
median	29
Q3	41
95-th percentile	61
Maximum	289
Range	288
Interquartile range (IQR)	24

Descriptive statistics

Standard deviation	17.74939977
Coefficient of variation (CV)	0.5814648342
Kurtosis	7.906238067
Mean	30.52531938
Median Absolute Deviation (MAD)	12
Skewness	1.220066074
Sum	198323
Variance	315.0411923

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
29	183	2.8%
6	170	2.6%
26	161	2.5%
15	157	2.4%
31	152	2.3%
24	152	2.3%
17	149	2.3%
34	146	2.2%
35	144	2.2%
23	142	2.2%
Other values (125)	4941	76.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	3	< 0.1%
2	2	< 0.1%
3	59	0.9%
4	52	0.8%
5	129	2.0%

Value	Count	Frequency (%)
289	1	< 0.1%
146.5	1	< 0.1%
138.5	1	< 0.1%
131	1	< 0.1%
128	1	< 0.1%

total sulfur dioxide
Real number (ℝ_≥0)

Distinct count	276
Unique (%)	4.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	115.7445744189626
Minimum	6.0
Maximum	440.0
Zeros	0
Zeros (%)	0.0%
Memory size	50.8 KiB

Quantile statistics

Minimum	6
5-th percentile	19
Q1	77
median	118
Q3	156
95-th percentile	206
Maximum	440
Range	434
Interquartile range (IQR)	79

Descriptive statistics

Standard deviation	56.52185452
Coefficient of variation (CV)	0.488332648
Kurtosis	-0.3716636549
Mean	115.7445744
Median Absolute Deviation (MAD)	39
Skewness	-0.001177478234
Sum	751992.5
Variance	3194.720039

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
111	72	1.1%
113	65	1.0%
122	57	0.9%
117	57	0.9%
98	56	0.9%
114	56	0.9%
124	56	0.9%
128	56	0.9%
118	55	0.8%
150	54	0.8%
Other values (266)	5913	91.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
6	3	< 0.1%
7	4	0.1%
8	14	0.2%
9	15	0.2%
10	28	0.4%

Value	Count	Frequency (%)
440	1	< 0.1%
366.5	1	< 0.1%
344	1	< 0.1%
313	1	< 0.1%
307.5	1	< 0.1%

density
Real number (ℝ_≥0)

Distinct count	20
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.9947004771432968
Minimum	0.987
Maximum	1.039
Zeros	0
Zeros (%)	0.0%
Memory size	50.8 KiB

Quantile statistics

Minimum	0.987
5-th percentile	0.99
Q1	0.992
median	0.995
Q3	0.997
95-th percentile	0.999
Maximum	1.039
Range	0.052
Interquartile range (IQR)	0.005

Descriptive statistics

Standard deviation	0.003009558063
Coefficient of variation (CV)	0.003025592258
Kurtosis	6.502100343
Mean	0.9947004771
Median Absolute Deviation (MAD)	0.002
Skewness	0.4900584549
Sum	6462.569
Variance	9.057439735e-06

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0.996	811	12.5%
0.997	720	11.1%
0.995	698	10.7%
0.992	656	10.1%
0.994	641	9.9%
0.998	640	9.9%
0.993	631	9.7%
0.991	521	8.0%
0.99	375	5.8%
0.999	338	5.2%
Other values (10)	466	7.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.987	8	0.1%
0.988	17	0.3%
0.989	166	2.6%
0.99	375	5.8%
0.991	521	8.0%

Value	Count	Frequency (%)
1.039	1	< 0.1%
1.01	2	< 0.1%
1.004	2	< 0.1%
1.003	9	0.1%
1.002	15	0.2%

pH
Real number (ℝ_≥0)

Distinct count	108
Unique (%)	1.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	3.2185008465445586
Minimum	2.72
Maximum	4.01
Zeros	0
Zeros (%)	0.0%
Memory size	50.8 KiB

Quantile statistics

Minimum	2.72
5-th percentile	2.97
Q1	3.11
median	3.21
Q3	3.32
95-th percentile	3.5
Maximum	4.01
Range	1.29
Interquartile range (IQR)	0.21

Descriptive statistics

Standard deviation	0.1607872021
Coefficient of variation (CV)	0.04995717254
Kurtosis	0.3676572674
Mean	3.218500847
Median Absolute Deviation (MAD)	0.11
Skewness	0.3868387981
Sum	20910.6
Variance	0.02585252436

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
3.16	200	3.1%
3.14	193	3.0%
3.22	185	2.8%
3.2	176	2.7%
3.15	170	2.6%
3.19	170	2.6%
3.18	168	2.6%
3.24	161	2.5%
3.12	154	2.4%
3.1	154	2.4%
Other values (98)	4766	73.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
2.72	1	< 0.1%
2.74	2	< 0.1%
2.77	1	< 0.1%
2.79	3	< 0.1%
2.8	3	< 0.1%

Value	Count	Frequency (%)
4.01	2	< 0.1%
3.9	2	< 0.1%
3.85	1	< 0.1%
3.82	1	< 0.1%
3.81	1	< 0.1%

sulphates
Real number (ℝ_≥0)

Distinct count	111
Unique (%)	1.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.5312682776666154
Minimum	0.22
Maximum	2.0
Zeros	0
Zeros (%)	0.0%
Memory size	50.8 KiB

Quantile statistics

Minimum	0.22
5-th percentile	0.35
Q1	0.43
median	0.51
Q3	0.6
95-th percentile	0.79
Maximum	2
Range	1.78
Interquartile range (IQR)	0.17

Descriptive statistics

Standard deviation	0.1488058736
Coefficient of variation (CV)	0.2800955372
Kurtosis	8.653698823
Mean	0.5312682777
Median Absolute Deviation (MAD)	0.08
Skewness	1.797270004
Sum	3451.65
Variance	0.02214318802

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0.5	276	4.2%
0.46	243	3.7%
0.54	235	3.6%
0.44	232	3.6%
0.38	214	3.3%
0.48	208	3.2%
0.52	203	3.1%
0.49	197	3.0%
0.47	191	2.9%
0.45	190	2.9%
Other values (101)	4308	66.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.22	1	< 0.1%
0.23	1	< 0.1%
0.25	4	0.1%
0.26	4	0.1%
0.27	13	0.2%

Value	Count	Frequency (%)
2	1	< 0.1%
1.98	1	< 0.1%
1.95	2	< 0.1%
1.62	1	< 0.1%
1.61	1	< 0.1%

alcohol
Real number (ℝ_≥0)

Distinct count	111
Unique (%)	1.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	10.49180021548407
Minimum	8.0
Maximum	14.9
Zeros	0
Zeros (%)	0.0%
Memory size	50.8 KiB

Quantile statistics

Minimum	8
5-th percentile	9
Q1	9.5
median	10.3
Q3	11.3
95-th percentile	12.7
Maximum	14.9
Range	6.9
Interquartile range (IQR)	1.8

Descriptive statistics

Standard deviation	1.192711764
Coefficient of variation (CV)	0.1136803732
Kurtosis	-0.5316882252
Mean	10.49180022
Median Absolute Deviation (MAD)	0.9
Skewness	0.5657174312
Sum	68165.226
Variance	1.422561352

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
9.5	367	5.6%
9.4	332	5.1%
9.2	271	4.2%
10	229	3.5%
10.5	227	3.5%
11	217	3.3%
9	215	3.3%
9.8	214	3.3%
10.4	194	3.0%
9.3	193	3.0%
Other values (101)	4038	62.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
8	2	< 0.1%
8.4	5	0.1%
8.5	10	0.2%
8.6	23	0.4%
8.7	80	1.2%

Value	Count	Frequency (%)
14.9	1	< 0.1%
14.2	1	< 0.1%
14.05	1	< 0.1%
14	12	0.2%
13.9	3	< 0.1%

quality
Real number (ℝ_≥0)

Distinct count	7
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	5.818377712790519
Minimum	3
Maximum	9
Zeros	0
Zeros (%)	0.0%
Memory size	50.8 KiB

Quantile statistics

Minimum	3
5-th percentile	5
Q1	5
median	6
Q3	6
95-th percentile	7
Maximum	9
Range	6
Interquartile range (IQR)	1

Descriptive statistics

Standard deviation	0.8732552715
Coefficient of variation (CV)	0.1500856965
Kurtosis	0.2323222693
Mean	5.818377713
Median Absolute Deviation (MAD)	1
Skewness	0.1896226934
Sum	37802
Variance	0.7625747693

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
6	2836	43.7%
5	2138	32.9%
7	1079	16.6%
4	216	3.3%
8	193	3.0%
3	30	0.5%
9	5	0.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3	30	0.5%
4	216	3.3%
5	2138	32.9%
6	2836	43.7%
7	1079	16.6%

Value	Count	Frequency (%)
9	5	0.1%
8	193	3.0%
7	1079	16.6%
6	2836	43.7%
5	2138	32.9%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

First rows

	fixed acidity	volatile acidity	citric acid	residual sugar	chlorides	free sulfur dioxide	total sulfur dioxide	density	pH	sulphates	alcohol	quality
0	7.4	0.70	0.00	1.9	0.076	11.0	34.0	0.998	3.51	0.56	9.4	5
1	7.8	0.88	0.00	2.6	0.098	25.0	67.0	0.997	3.20	0.68	9.8	5
2	7.8	0.76	0.04	2.3	0.092	15.0	54.0	0.997	3.26	0.65	9.8	5
3	11.2	0.28	0.56	1.9	0.075	17.0	60.0	0.998	3.16	0.58	9.8	6
4	7.4	0.70	0.00	1.9	0.076	11.0	34.0	0.998	3.51	0.56	9.4	5
5	7.4	0.66	0.00	1.8	0.075	13.0	40.0	0.998	3.51	0.56	9.4	5
6	7.9	0.60	0.06	1.6	0.069	15.0	59.0	0.996	3.30	0.46	9.4	5
7	7.3	0.65	0.00	1.2	0.065	15.0	21.0	0.995	3.39	0.47	10.0	7
8	7.8	0.58	0.02	2.0	0.073	9.0	18.0	0.997	3.36	0.57	9.5	7
9	7.5	0.50	0.36	6.1	0.071	17.0	102.0	0.998	3.35	0.80	10.5	5

Last rows

	fixed acidity	volatile acidity	citric acid	residual sugar	chlorides	free sulfur dioxide	total sulfur dioxide	density	pH	sulphates	alcohol	quality
6487	6.8	0.220	0.36	1.20	0.052	38.0	127.0	0.993	3.04	0.54	9.2	5
6488	4.9	0.235	0.27	11.75	0.030	34.0	118.0	0.995	3.07	0.50	9.4	6
6489	6.1	0.340	0.29	2.20	0.036	25.0	100.0	0.989	3.06	0.44	11.8	6
6490	5.7	0.210	0.32	0.90	0.038	38.0	121.0	0.991	3.24	0.46	10.6	6
6491	6.5	0.230	0.38	1.30	0.032	29.0	112.0	0.993	3.29	0.54	9.7	5
6492	6.2	0.210	0.29	1.60	0.039	24.0	92.0	0.991	3.27	0.50	11.2	6
6493	6.6	0.320	0.36	8.00	0.047	57.0	168.0	0.995	3.15	0.46	9.6	5
6494	6.5	0.240	0.19	1.20	0.041	30.0	111.0	0.993	2.99	0.46	9.4	6
6495	5.5	0.290	0.30	1.10	0.022	20.0	110.0	0.989	3.34	0.38	12.8	7
6496	6.0	0.210	0.38	0.80	0.020	22.0	98.0	0.989	3.26	0.32	11.8	6

Most frequent

	fixed acidity	volatile acidity	citric acid	residual sugar	chlorides	free sulfur dioxide	total sulfur dioxide	density	pH	sulphates	alcohol	quality	count
461	7.0	0.15	0.28	14.7	0.051	29.0	149.0	0.998	2.96	0.39	9.0	7	8
623	7.3	0.19	0.27	13.9	0.057	45.0	155.0	0.998	2.94	0.41	8.8	8	8
361	6.8	0.18	0.30	12.8	0.062	19.0	171.0	0.998	3.00	0.52	9.0	7	7
662	7.4	0.16	0.30	13.7	0.056	33.0	168.0	0.998	2.90	0.44	8.7	7	7
661	7.4	0.16	0.27	15.5	0.050	25.0	135.0	0.998	2.90	0.43	8.7	7	6
665	7.4	0.19	0.30	12.8	0.053	48.5	229.0	0.999	3.14	0.49	9.1	7	6
666	7.4	0.19	0.31	14.5	0.045	39.0	193.0	0.999	3.10	0.50	9.2	6	6
729	7.6	0.20	0.30	14.2	0.056	53.0	212.5	0.999	3.14	0.46	8.9	8	6
32	5.7	0.22	0.20	16.0	0.044	41.0	113.0	0.999	3.22	0.46	8.9	6	5
119	6.2	0.23	0.36	17.2	0.039	37.0	130.0	0.999	3.23	0.43	8.8	6	5

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows

Duplicate rows

Most frequent